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Simplifying 21 + 7x + -44 = 3x + 12 + 9x Reorder the terms: 21 + -44 + 7x = 3x + 12 + 9x Combine like terms: 21 + -44 = -23 -23 + 7x = 3x + 12 + 9x Reorder the terms: -23 + 7x = 12 + 3x + 9x Combine like terms: 3x + 9x = 12x -23 + 7x = 12 + 12x Solving -23 + 7x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -23 + 7x + -12x = 12 + 12x + -12x Combine like terms: 7x + -12x = -5x -23 + -5x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -23 + -5x = 12 + 0 -23 + -5x = 12 Add '23' to each side of the equation. -23 + 23 + -5x = 12 + 23 Combine like terms: -23 + 23 = 0 0 + -5x = 12 + 23 -5x = 12 + 23 Combine like terms: 12 + 23 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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